Irresistible Integrals
Subtitle: Symbolics, Analysis and Experiments in the Evaluation of Integrals
Publisher: Cambridge University Press
Published: June 21, 2004
Language: eng
Format: Paperback
Number of pages: 320
ISBN-13: 9780521796361
Subjects: Calculus & mathematical analysis; Science/Mathematics; Differential Equations; Mathematics; Calculus; Probability & Statistics - General; Mathematics / Differential Equations; Definite integrals
First sentence: In this chapter we discuss several properties of factorials and binomial coefficients.
Description: The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.